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Finding the Third Proportional to 98,530 and 147,590

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Solution

The third proportional to 98,530 and 147,590 is: 221,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,530 : 147,590 = 147,590 : x
  2. Step 2: Convert to fraction form
    98,530/147,590 = 147,590/x
  3. Step 3: Cross multiply
    98,530x = 147,590 × 147,590
  4. Step 4: Simplify right side
    98,530x = 21,782,808,100
  5. Step 5: Solve for x
    x = 21,782,808,100/98,530
  6. Step 6: Final answer
    x = 221,077.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.